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Pieris rapae
The term Cabbage White covers both Small White and Large White. The Small White may also be classified as Artogeia rapae.
Garden
Thanks for the corrections bayucca, my book does not show any black on the Small White, just a faint brown smudge! It also gave the scientific name as Artogeia rapae.
It is the Small White, look at the black part at the tip of the forewing. Yours is more horizontal and not extending below the first round spot.
http://en.wikipedia.org/wiki/Pieris_bras...